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Finding the Fourth Proportional to 523.35, 723.78 and 457.74

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Solution

The fourth proportional to 523.35, 723.78 and 457.74 is: 633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.35 : 723.78 = 457.74 : x
  2. Step 2: Convert to fraction form
    523.35/723.78 = 457.74/x
  3. Step 3: Cross multiply
    523.35x = 723.78 × 457.74
  4. Step 4: Simplify right side
    523.35x = 331,303.06
  5. Step 5: Solve for x
    x = 331,303.06/523.35
  6. Step 6: Final answer
    x = 633.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.